Question

A: 2, 3, 10, and 12y: 2/3, 1, 10/3, and 4Constant of proportionality: Equation: y =​

Answer 1

Constant of proportionality  : $\frac{1}{3}$

Equation: y = ka

How are the values calculated?

a: 2, 3, 10, and 12

y: 2/3, 1, 10/3, and 4

Let the constant of proportionality = k

If x and y are directly proportional ,

We know , k = $\frac{y}{x}$

Here, k = $\frac{y}{a}$

Considering y = 2/3 and a =2

k =   $\frac{2}{3*2}$ =   $\frac{2}{6}$  =  $\frac{1}{3}$

Thus, the constant of proportionality ( k) =  $\frac{1}{3}$

The equation y is given by ,

y =  ka

Let us verify,

For k = 1/3 and a = 12

$y=\frac{1}{3} *12\\\\y=4$

Thus the equation is y = ka

What is constant of proportionality?

• The constant value of the ratio between two proportional values is known as the constant of proportionality.

• When the ratio or product of two changing quantities gives a constant, the two are said to be in a relation of proportionality.

• The type of proportion between the two specified variables affects the constant of proportionality's value.

• The formula y = kx can be used to determine the value of "k" in a direct proportionality.

• Direct proportionality  follows that k = y/x.

To learn more about constant of proportionality, refer:

brainly.com/question/28413384

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